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Ancestor-Descendant Correspondence and g = 1 Permutation-Equivariant Quantum K-Theory for Symplectic Target Spaces
Ancestor-Descendant Correspondence and g = 1 Permutation-Equivariant Quantum K-Theory for Symplectic Target Spaces
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103538
- ISBN
- 9798288861932
- DDC
- 510
- 저자명
- Tang, Dun.
- 서명/저자
- Ancestor-Descendant Correspondence and g = 1 Permutation-Equivariant Quantum K-Theory for Symplectic Target Spaces
- 발행사항
- [Sl] : University of California, Berkeley, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 124 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
- 주기사항
- Advisor: Givental, Alexander B.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Berkeley, 2025.
- 초록/해제
- 요약In this paper, we first define the Symplectic version of the permutation-equivariant quantum K-theory via virtual structural class of moduli spaces of stable maps constructed as an element of their (analytic) orbispace K-homology. Then we verify that the resulting invariants coincide with those in [2], in the non-permutative case.Next, we generalize the K-theoretic ancestor-descendant correspondence in [15] to allow arbitrary permutative inputs. After examining its consequences in g = 0, we prove a reconstruction theorem for g = 1 invariants, serving as an analog of Dijkgraaf-Witten's theorem.
- 일반주제명
- Mathematics
- 일반주제명
- Applied mathematics
- 키워드
- K-homology
- 키워드
- Moduli spaces
- 기타저자
- University of California, Berkeley Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-01B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■006m o d
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■020 ▼a9798288861932
■035 ▼a(MiAaPQ)AAI32040652
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aTang, Dun.
■24510▼aAncestor-Descendant Correspondence and g = 1 Permutation-Equivariant Quantum K-Theory for Symplectic Target Spaces
■260 ▼a[Sl]▼bUniversity of California, Berkeley▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a124 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-01, Section: B.
■500 ▼aAdvisor: Givental, Alexander B.
■5021 ▼aThesis (Ph.D.)--University of California, Berkeley, 2025.
■520 ▼aIn this paper, we first define the Symplectic version of the permutation-equivariant quantum K-theory via virtual structural class of moduli spaces of stable maps constructed as an element of their (analytic) orbispace K-homology. Then we verify that the resulting invariants coincide with those in [2], in the non-permutative case.Next, we generalize the K-theoretic ancestor-descendant correspondence in [15] to allow arbitrary permutative inputs. After examining its consequences in g = 0, we prove a reconstruction theorem for g = 1 invariants, serving as an analog of Dijkgraaf-Witten's theorem.
■590 ▼aSchool code: 0028.
■650 4▼aMathematics
■650 4▼aApplied mathematics
■653 ▼aReconstruction theorem
■653 ▼aK-homology
■653 ▼aPermutative inputs
■653 ▼aModuli spaces
■690 ▼a0405
■690 ▼a0364
■71020▼aUniversity of California, Berkeley▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g87-01B.
■790 ▼a0028
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357623▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
